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On maximal finite irreducible subgroups of ${\text{GL}}\left( {n,\mathbf {Z}} \right)$. I: The five and seven dimensional case. II: The six dimensional case
Author(s):
Wilhelm
Plesken;
Michael
Pohst
Journal:
Bull. Amer. Math. Soc.
82
(1976),
757-758.
MSC (1970):
Primary 20C10
MathSciNet review:
0407165
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References:
- 1.
- R. Brauer, Über endliche lineare Gruppen von Primzahlgrad, Math. Ann. 169 (1967), 73-96. MR 34 #5913. MR 206088
- 2.
- R. Bülow, Über Dadegruppen in GL(5, Z), Dissertation, Aachen, 1973.
- 3.
- R. Bülow, J. Neubüser and H. Wondratschek, On crystallography in higher dimension. I, II, III, Acta Cryst. A27 (1971), 517-535.
- 4.
- E. C. Dade, The maximal finite groups of 4 X 4 integral matrices, Illinois J. Math. 9 (1965), 99-122. MR 30 #1192. MR 170958
- 5.
- J. H. Lindsey, II. Finite linear groups of degree six, Canad. J. Math. 23 (1971), 771-790. MR 44 #6853. MR 289665
- 6.
- W. Plesken, Beiträge zur Bestimmung der endlichen irreduziblen Untergruppen von GL(n, Z) und ihrer ganzzahligen Darstellungen, Dissertation, Aachen, 1974.
- 7.
- S. S. Ryškov, On maximal finite groups of integer (n x n)-matrices, Dokl. Akad. Nauk SSSR 204 (1972), 561-564 = Soviet Math. Dokl. 13 (1972), 720-724. MR 46 #3636. MR 304501
- 8.
- S. S. Ryškov, Maximal finite groups of integral n x n matrices and full groups of integral automorphisms of positive quadratic forms (Bravais), Trudy Mat. Inst. Steklov 128 (1972), 183-211, 261=Proc. Steklov Inst. Math. 128 (1972), 217-250. MR 49 #8939. MR 344199
- 9.
- D. B. Wales, Finite linear groups in seven variables, Bull. Amer. Math. Soc. 74 (1968), 197-198. MR 36 #1552. MR 218466
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Additional Information:
DOI:
10.1090/S0002-9904-1976-14153-5
PII:
S 0002-9904(1976)14153-5
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